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Finding the Third Proportional to 130,664 and 190,952

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Solution

The third proportional to 130,664 and 190,952 is: 279,056.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,664 : 190,952 = 190,952 : x
  2. Step 2: Convert to fraction form
    130,664/190,952 = 190,952/x
  3. Step 3: Cross multiply
    130,664x = 190,952 × 190,952
  4. Step 4: Simplify right side
    130,664x = 36,462,666,304
  5. Step 5: Solve for x
    x = 36,462,666,304/130,664
  6. Step 6: Final answer
    x = 279,056.71

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.